Year: 2012
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 19–26
Abstract
In this article we introduce the difference sequence spaces $W_0[ f, \Delta m]$, $W_1[ f ,\Delta m]$,$W_\infty[ f ,\Delta m]$ and $S[f,\Delta m]$, defined by a modulus function $f$. We obtain a relation between $W_1[ f ,\Delta m]\cap l_\infty[ f ,\Delta m]$ and $S[ f ,\Delta m]\cap l_\infty[ f ,\Delta m]$ and prove some inclusion results.
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Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.4208/ata.2012.v28.n1.3
Analysis in Theory and Applications, Vol. 28 (2012), Iss. 1 : pp. 19–26
Published online: 2012-01
AMS Subject Headings: Global Science Press
Copyright: COPYRIGHT: © Global Science Press
Pages: 8
Keywords: Strongly Cesàro summable sequence modulus function statistical convergence.